Moment of inertia of a thin rod of mass M and length L about an axis passing through centre is ML 2 - 12 - Its moment of inertia about a parallel axis at a distance of L - 4 from the axis is given by-A- ML2-48B- ML 3 - 48C- ML 2 - 12D- 7 ML 2 - 48

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Standard XII

Physics

Moment of Inertia of a Disc

Moment of ine...

Question

Moment of inertia of a thin rod of mass M and length L about an axis passing through centre is ML²/12. Its moment of inertia about a parallel axis at a distance of L/4 from the axis is given by?

A. ML2/48

B. ML3/48

C. ML2/12

D. 7ML2/48

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Solution

MI at the centre axis = ML² / 12
By using Parallel Axis Theorem = New MI = ML²/12 + M(L/4)²
= 28ML² / 192
= 7ML² / 48

Therefore Option D

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Moment of inertia of a thin rod of mass M and length L about an axis passing through centre is ML​​​​​2/12. Its moment of inertia about a parallel axis at a distance of L/4 from the axis is given by? A. ML2/48 B. ML3/48 C. ML2/12 D. 7ML2/48

MI at the centre axis = ML² / 12 By using Parallel Axis Theorem = New MI = ML²/12 + M(L/4)² = 28ML² / 192 = 7ML² / 48 Therefore Option D

Moment of inertia of a thin rod of mass M and length L about an axis passing through centre is ML²/12. Its moment of inertia about a parallel axis at a distance of L/4 from the axis is given by?

A. ML2/48

B. ML3/48

C. ML2/12

D. 7ML2/48

MI at the centre axis = ML² / 12
By using Parallel Axis Theorem = New MI = ML²/12 + M(L/4)²
= 28ML² / 192
= 7ML² / 48

Therefore Option D